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Simplifying 1.5(4x + -6) + x = 2x + 1 Reorder the terms: 1.5(-6 + 4x) + x = 2x + 1 (-6 * 1.5 + 4x * 1.5) + x = 2x + 1 (-9 + 6x) + x = 2x + 1 Combine like terms: 6x + x = 7x -9 + 7x = 2x + 1 Reorder the terms: -9 + 7x = 1 + 2x Solving -9 + 7x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 7x + -2x = 1 + 2x + -2x Combine like terms: 7x + -2x = 5x -9 + 5x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 5x = 1 + 0 -9 + 5x = 1 Add '9' to each side of the equation. -9 + 9 + 5x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 1 + 9 5x = 1 + 9 Combine like terms: 1 + 9 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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